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Finding the Third Proportional to 436,608 and 652,216

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Solution

The third proportional to 436,608 and 652,216 is: 974,296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,608 : 652,216 = 652,216 : x
  2. Step 2: Convert to fraction form
    436,608/652,216 = 652,216/x
  3. Step 3: Cross multiply
    436,608x = 652,216 × 652,216
  4. Step 4: Simplify right side
    436,608x = 425,385,710,656
  5. Step 5: Solve for x
    x = 425,385,710,656/436,608
  6. Step 6: Final answer
    x = 974,296.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.